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Possible Answers:
TAKE.
Last seen on: Daily Boston Globe Crossword Wednesday, 25 October 2023
Random information on the term “sides”:
Three edges AB, BC, and CA, each between two vertices of a triangle.
A polygon is bounded by edges; this square has 4 edges.
Every edge is shared by two faces in a polyhedron, like this cube.
Every edge is shared by three or more faces in a 4-polytope, as seen in this projection of a tesseract.
In geometry, an edge is a particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope. In a polygon, an edge is a line segment on the boundary, and is often called a polygon side. In a polyhedron or more generally a polytope, an edge is a line segment where two faces (or polyhedron sides) meet. A segment joining two vertices while passing through the interior or exterior is not an edge but instead is called a diagonal.
In graph theory, an edge is an abstract object connecting two graph vertices, unlike polygon and polyhedron edges which have a concrete geometric representation as a line segment.However, any polyhedron can be represented by its skeleton or edge-skeleton, a graph whose vertices are the geometric vertices of the polyhedron and whose edges correspond to the geometric edges. Conversely, the graphs that are skeletons of three-dimensional polyhedra can be characterized by Steinitz’s theorem as being exactly the 3-vertex-connected planar graphs.